Greatest Common Factor of 3720/73, 2374/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3720/73, 2374/412

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3720/73,2374/412

Given fractions are 3720/73,2374/412

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3720,2374

Greatest Common Factor of Numerators i.e. GCF of 3720,2374 is 2 .

LCM of Denominators means LCM of 73,412 as per the given fractions.

LCM of 73,412 is 30076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3720,2374

GCF of Fractions 3720/73,2374/412 is 2/30076

2 3720, 2374
1860, 1187

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3720,2374 By Matching Biggest Common Factor Method

Greatest Common Factor of 3720,2374 By Matching Biggest Common Factor Method

Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720

Factors of 2374

List of positive integer factors of 2374 that divides 2374 without a remainder.

1,2,1187,2374

Greatest Common Factor

We found the factors 3720,2374 . The biggest common factor number is the GCF number.
So the greatest common factor 3720,2374 is 2.

Lets's calculate LCM of 73,412

Given numbers has no common factors except 1. So, there LCM is their product i.e 30076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30076

Therefore, the GCF of Fractions 3720/73,2374/412 is 2/30076

Least Common Multiple of 73,412 with GCF Formula

Least Common Multiple of 73,412 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 73,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,412) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,412) x common factors =1 x 1 = 1

LCM(73,412) = ( 73 × 412 ) / 1

LCM(73,412) = 30076 / 1

LCM(73,412) = 30076


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3720/73, 2374/412

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3720/73, 2374/412?

Answer: GCF of Numerators as per given numbers 3720/73, 2374/412 is

GCF of Numerators i.e. for 3720,2374 is 2

LCM of denominators i.e. for 73,412 is 30076.

Thus, GCF of Fractions is 2/30076.Finally, GCF of Fractions for 3720/73, 2374/412 is 2/30076.